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Finding the Fourth Proportional to 33,775.22, 50,662.85 and 8,815.20

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Solution

The fourth proportional to 33,775.22, 50,662.85 and 8,815.20 is: 13,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,775.22 : 50,662.85 = 8,815.20 : x
  2. Step 2: Convert to fraction form
    33,775.22/50,662.85 = 8,815.20/x
  3. Step 3: Cross multiply
    33,775.22x = 50,662.85 × 8,815.20
  4. Step 4: Simplify right side
    33,775.22x = 446,603,111.24
  5. Step 5: Solve for x
    x = 446,603,111.24/33,775.22
  6. Step 6: Final answer
    x = 13,222.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.